Paper: Definitions by Rewriting in the Calculus of Constructions (at LICS 2001)

Authors: Frédéric Blanqui

Abstract

The main novelty of this paper is to consider an extension of the Calculus of Constructions where predicates can be defined with a general form of rewrite rules. We prove the strong normalization of the reduction relation generated by the ß-rule and the user-defined rules under some general syntactic conditions including confluence. As examples, we show that two important systems satisfy these conditions: a sub-system of the Calculus of Inductive Constructions which is the basis of the proof assistant Coq, and the Natural Deduction Modulo a large class of equational theories.

BibTeX

  @InProceedings{Blanqui-DefinitionsbyRewrit,
    author = 	 {Frédéric Blanqui},
    title = 	 {Definitions by Rewriting in the Calculus of Constructions},
    booktitle =  {Proceedings of the Sixteenth Annual IEEE Symposium on Logic in Computer Science (LICS 2001)},
    year =	 {2001},
    month =	 {June}, 
    pages =      {9--18},
    location =   {Boston, MA, USA}, 
    publisher =	 {IEEE Computer Society Press}
  }